中文摘要：

研究了一类随机时滞Markov切换系统的弹性控制器设计问题.该系统的转移速率是一般不确定的,比完全已知速率和不完全已知速率更具有一般性.针对此类Markov切换系统,充分考虑一般不确定转移速率矩阵中各元素之间的特性,通过构建一个较为新颖的模态依赖型Lyapunov-Krasovskii泛函,设计了弹性控制器以确保闭环系统随机稳定.并且,通过求解一组线性矩阵不等式得到控制器增益矩阵.最后,利用一个数值算例验证了所得结果的有效性.

英文摘要：

The was problem of resilient controller design the for stochastic time-delayed Markov switching uncertain,which investigated.the Transition rate rate of system partly is generally systems is more general than completely known and the known rate.By full considering features matrix,a between each element in the generally uncertain transition mode-dependent Lyapunovestablished,and Krasovskii functional was was a of resilient for controller was designed to ensure A that the closed-loop system stochastically stable the Markov switching systems.set of linear（LMIs）Finally,a numerical matrix was inequalities was solved to get controller the gain matrix.example given to demonstrate the effectiveness results.